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arxiv: 0712.2092 · v2 · submitted 2007-12-13 · 🧮 math.NT · math.RT

Bessel models for GSp(4)

classification 🧮 math.NT math.RT
keywords localmodelsbesselcaseglobalanalyzecentralconjecture
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Methods of theta correspondence are used to analyze local and global Bessel models for $GSp(4)$ proving a conjecture of Gross and Prasad which describes these models in terms of local epsilon factors in the local case, and the non-vanishing of central critical $L$-value in the global case.

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